Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9899/442, 3807/8813 quickly i.e. 37685493 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9899/442, 3807/8813 is 37685493.
LCM(9899/442, 3807/8813) = 37685493
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9899/442,3807/8813
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 9899,3807
Least Common Multiple of Numerators i.e. LCM of 9899,3807 is 37685493.
GCF of Denominators means GCF of 442,8813 as per the given fractions.
GCF of 442,8813 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9899,3807
Given numbers has no common factors except 1. So, there LCM is their product i.e 37685493
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 9899,3807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9899,3807) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9899,3807) x common factors =1 x 1 = 1
LCM(9899,3807) = ( 9899 × 3807 ) / 1
LCM(9899,3807) = 37685493 / 1
LCM(9899,3807) = 37685493
Lets's calculate GCF of 442,8813
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37685493/1
Therefore the LCM of Fractions 9899/442,3807/8813 is 37685493
Factors of 442
List of positive integer factors of 442 that divides 442 without a remainder.
1,2,13,17,26,34,221,442
Factors of 8813
List of positive integer factors of 8813 that divides 8813 without a remainder.
1,7,1259,8813
Greatest Common Factor
We found the factors 442,8813 . The biggest common factor number is the GCF number.
So the greatest common factor 442,8813 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 9899/442, 3807/8813?
Answer: LCM of Numerators as per given numbers 9899/442, 3807/8813 is
LCM of Numerators i.e. for 9899,3807 is 37685493
GCF of denominators i.e. for 442,8813 is 1.
Thus, LCM of Fractions is 37685493.Finally, LCM of Fractions for 9899/442, 3807/8813 is 37685493.